Results 11 to 20 of about 1,526,545 (357)
Developments in Random Matrix Theory [PDF]
Journal of Physics A: Mathematical and General, 2003 In this preface to the Journal of Physics A, Special Edition on Random Matrix Theory, we give a review of the main historical developments of random matrix theory.
Forrester, P. J. +2 more
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Dynamic Functional Connectivity Change-Point Detection With Random Matrix Theory Inference. [PDF]
Front Neurosci, 2021 To study the dynamic nature of brain activity, functional magnetic resonance imaging (fMRI) data is useful including some temporal dependencies between the corresponding neural activity estimates.
Kim J, Jeong W, Chung CK.
europepmc +2 more sources
Superstatistics in random matrix theory [PDF]
Physica A: Statistical Mechanics and its Applications, 2006 Random matrix theory (RMT) provides a successful model for quantum systems, whose classical counterpart has chaotic dynamics. It is based on two assumptions: (1) matrix-element independence, and (2) base invariance. The last decade witnessed several attempts to extend RMT to describe quantum systems with mixed regular-chaotic dynamics.
A.Y. Abul-Magd
openaire +7 more sources
Supersymmetric SYK model and random matrix theory [PDF]
Journal of High Energy Physics, 2017 A bstractIn this paper, we investigate the effect of supersymmetry on the symmetry classification of random matrix theory ensembles. We mainly consider the random matrix behaviors in the N=1$$ \mathcal{N}=1 $$ supersymmetric generalization of Sachdev-Ye ...
Tian-Jun Li +3 more
semanticscholar +3 more sources
Many-Body Quantum Chaos: Analytic Connection to Random Matrix Theory [PDF]
Physical Review X, 2017 A new theory explains observed connections between the thermal phase in many-body quantum systems and random matrix theory, paving the way to a deeper understanding of this phase.
Pavel Kos, Marko Ljubotina, T. Prosen
semanticscholar +2 more sources
Path counting and random matrix theory [PDF]
The Electronic Journal of Combinatorics, 2003 We establish three identities involving Dyck paths and alternating Motzkin paths, whose proofs are based on variants of the same bijection. We interpret these identities in terms of closed random walks on the halfline.
Dumitriu, Ioana, Rassart, Etienne
core +5 more sources
Uncovering functional signature in neural systems via random matrix theory. [PDF]
PLoS Comput Biol, 2019 Neural systems are organized in a modular way, serving multiple functionalities. This multiplicity requires that both positive (e.g. excitatory, phase-coherent) and negative (e.g.
Almog A +6 more
europepmc +2 more sources
Law of addition in random matrix theory [PDF]
Nuclear Physics B, 1996 We discuss the problem of adding random matrices, which enable us to study Hamiltonians consisting of a deterministic term plus a random term. Using a diagrammatic approach and introducing the concept of ``gluon connectedness," we calculate the density ...
't Hooft +22 more
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Random-matrix theory of quantum transport [PDF]
Reviews of Modern Physics, 1996 This is a review of the statistical properties of the scattering matrix of a mesoscopic system. Two geometries are contrasted: A quantum dot and a disordered wire.
C. Beenakker
semanticscholar +6 more sources
Partial Discharge Detection and Recognition in Random Matrix Theory Paradigm
IEEE Access, 2017 The detection and recognition of partial discharge (PD) is an important topic in insulation tests and diagnoses. Take advantage of the affluent results from random matrix theory (RMT), such as eigenvalue analysis, M-P law, the ring law, and so on, a ...
Lingen Luo +4 more
semanticscholar +3 more sources